NCERT Solutions Exercise 5.6: Continuity & Differentiability | Mathematics (Maths) Class 12 - JEE PDF Download

 Page 1


 
 
 
 
 
NCERT Solutions for Class 12 Maths Chapter 5 Continuity and 
Differentiability 
 
Exercise 5.6                                                                Page No: 181 
  
If x and y are connected parametrically by the equations given in Exercise 1 to 10, without 
eliminating the parameter, find dy/dx. 
 
1.  
Solution: Given functions are  and  
   
  
=  and  
 
 =  
Now, 
  
2.  
Solution: Given functions are  and  
  
   
 
and  
 
Page 2


 
 
 
 
 
NCERT Solutions for Class 12 Maths Chapter 5 Continuity and 
Differentiability 
 
Exercise 5.6                                                                Page No: 181 
  
If x and y are connected parametrically by the equations given in Exercise 1 to 10, without 
eliminating the parameter, find dy/dx. 
 
1.  
Solution: Given functions are  and  
   
  
=  and  
 
 =  
Now, 
  
2.  
Solution: Given functions are  and  
  
   
 
and  
 
 
 
 
 
 
NCERT Solutions for Class 12 Maths Chapter 5 Continuity and 
Differentiability 
 
  
Now, 
  
3.  
Solution: Given functions are  and  
  and 
 =  
Now, 
  
4.  
Solution: Given functions are  and  
  =   
and 
   
=  
  
Page 3


 
 
 
 
 
NCERT Solutions for Class 12 Maths Chapter 5 Continuity and 
Differentiability 
 
Exercise 5.6                                                                Page No: 181 
  
If x and y are connected parametrically by the equations given in Exercise 1 to 10, without 
eliminating the parameter, find dy/dx. 
 
1.  
Solution: Given functions are  and  
   
  
=  and  
 
 =  
Now, 
  
2.  
Solution: Given functions are  and  
  
   
 
and  
 
 
 
 
 
 
NCERT Solutions for Class 12 Maths Chapter 5 Continuity and 
Differentiability 
 
  
Now, 
  
3.  
Solution: Given functions are  and  
  and 
 =  
Now, 
  
4.  
Solution: Given functions are  and  
  =   
and 
   
=  
  
 
 
 
 
 
NCERT Solutions for Class 12 Maths Chapter 5 Continuity and 
Differentiability 
Now, 
  
5.  
Solution: Given functions are  and  
  
  
  
  
And 
 
Now  
 
6.  
Solution: Given functions are  and  
Page 4


 
 
 
 
 
NCERT Solutions for Class 12 Maths Chapter 5 Continuity and 
Differentiability 
 
Exercise 5.6                                                                Page No: 181 
  
If x and y are connected parametrically by the equations given in Exercise 1 to 10, without 
eliminating the parameter, find dy/dx. 
 
1.  
Solution: Given functions are  and  
   
  
=  and  
 
 =  
Now, 
  
2.  
Solution: Given functions are  and  
  
   
 
and  
 
 
 
 
 
 
NCERT Solutions for Class 12 Maths Chapter 5 Continuity and 
Differentiability 
 
  
Now, 
  
3.  
Solution: Given functions are  and  
  and 
 =  
Now, 
  
4.  
Solution: Given functions are  and  
  =   
and 
   
=  
  
 
 
 
 
 
NCERT Solutions for Class 12 Maths Chapter 5 Continuity and 
Differentiability 
Now, 
  
5.  
Solution: Given functions are  and  
  
  
  
  
And 
 
Now  
 
6.  
Solution: Given functions are  and  
 
 
 
 
 
NCERT Solutions for Class 12 Maths Chapter 5 Continuity and 
Differentiability 
  
  
 
 
=  
  =  
=  
=  
=  
 
 
Page 5


 
 
 
 
 
NCERT Solutions for Class 12 Maths Chapter 5 Continuity and 
Differentiability 
 
Exercise 5.6                                                                Page No: 181 
  
If x and y are connected parametrically by the equations given in Exercise 1 to 10, without 
eliminating the parameter, find dy/dx. 
 
1.  
Solution: Given functions are  and  
   
  
=  and  
 
 =  
Now, 
  
2.  
Solution: Given functions are  and  
  
   
 
and  
 
 
 
 
 
 
NCERT Solutions for Class 12 Maths Chapter 5 Continuity and 
Differentiability 
 
  
Now, 
  
3.  
Solution: Given functions are  and  
  and 
 =  
Now, 
  
4.  
Solution: Given functions are  and  
  =   
and 
   
=  
  
 
 
 
 
 
NCERT Solutions for Class 12 Maths Chapter 5 Continuity and 
Differentiability 
Now, 
  
5.  
Solution: Given functions are  and  
  
  
  
  
And 
 
Now  
 
6.  
Solution: Given functions are  and  
 
 
 
 
 
NCERT Solutions for Class 12 Maths Chapter 5 Continuity and 
Differentiability 
  
  
 
 
=  
  =  
=  
=  
=  
 
 
 
 
 
 
 
NCERT Solutions for Class 12 Maths Chapter 5 Continuity and 
Differentiability 
7.  
Solution: Given functions are  and  
  [By quotient rule] 
=  
=  
=  
=  
And  [By quotient rule] 
=  
=  
=